Average Error: 17.0 → 0.0
Time: 17.2s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r28666485 = x;
        double r28666486 = y;
        double r28666487 = r28666485 * r28666486;
        double r28666488 = z;
        double r28666489 = r28666486 * r28666488;
        double r28666490 = r28666487 - r28666489;
        double r28666491 = r28666486 * r28666486;
        double r28666492 = r28666490 - r28666491;
        double r28666493 = r28666492 + r28666491;
        return r28666493;
}
↓
double f(double x, double y, double z) {
        double r28666494 = x;
        double r28666495 = z;
        double r28666496 = r28666494 - r28666495;
        double r28666497 = y;
        double r28666498 = r28666496 * r28666497;
        return r28666498;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original17.0
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.0

    \[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(x - z\right) \cdot y\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

  :herbie-target
  (* (- x z) y)

  (+ (- (- (* x y) (* y z)) (* y y)) (* y y)))